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Finding the Third Proportional to 131,303.81 and 288,137.81

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Solution

The third proportional to 131,303.81 and 288,137.81 is: 632,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,303.81 : 288,137.81 = 288,137.81 : x
  2. Step 2: Convert to fraction form
    131,303.81/288,137.81 = 288,137.81/x
  3. Step 3: Cross multiply
    131,303.81x = 288,137.81 × 288,137.81
  4. Step 4: Simplify right side
    131,303.81x = 83,023,398,992.29
  5. Step 5: Solve for x
    x = 83,023,398,992.29/131,303.81
  6. Step 6: Final answer
    x = 632,299.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.